Orthonormal aberration polynomials for anamorphic optical imaging systems with rectangular pupils

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/50997

Title:	Orthonormal aberration polynomials for anamorphic optical imaging systems with rectangular pupils
Authors:	Mahajan,VN
Contributors:	光電科學與工程學系
Date:	2010
Issue Date:	2012-03-27 18:15:06 (UTC+8)
Publisher:	國立中央大學
Abstract:	The classical aberrations of an anamorphic optical imaging system, representing the terms of a power-series expansion of its aberration function, are separable in the Cartesian coordinates of a point on its pupil. We discuss the balancing of a classical aberration of a certain order with one or more such aberrations of lower order to minimize its variance across a rectangular pupil of such a system. We show that the balanced aberrations are the products of two Legendre polynomials, one for each of the two Cartesian coordinates of the pupil point. The compound Legendre polynomials are orthogonal across a rectangular pupil and, like the classical aberrations, are inherently separable in the Cartesian coordinates of the pupil point. They are different from the balanced aberrations and the corresponding orthogonal polynomials for a system with rotational symmetry but a rectangular pupil. (C) 2010 Optical Society of America
Relation:	APPLIED OPTICS
Appears in Collections:	[Department of Optics and Photonics] journal & Dissertation

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